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manufacturing-Production Planning A mining company owns 2 different mines that produce ore, which is crushed and graded into three classes: high, medium, and low grade. The company has a contract to provide a smelting plant with at least 13 tons of high-grade, 9 tons of medium-grade, and 24 tons of low-grade ore per week. The two mines have different operating characteristics, as outlined in the table below: Mine #Tons/Day Low 4 6 #Tons/Day High 3 2 #Tons/Day Medium 3 1 #1 #2 The operating costs for Mine #1 are $12,000 per day and the operating costs for Mine # 2 are $10,000 per day. Each mine operates at most 5 days per week. How many days per week should each mine operate to meet or exceed the smelting plant contract and minimize the total cost? Let x = the number of days per week that Mine 1 operates per week, and Lety - the number of days per week that Mine 2 operates per week Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Minimize Cost, C-12000x+10000y Constraints: 3x + 2y >= 9,3x+y>= 13, 4x+6y= 24, x <= 5, y <= 5, x>0, y = 0 O Objective Function: Minimize Cost, C-12000x+10000y Constraints: 3x + 2y >= 13, 3x+y>= 9, 4x+6y>= 24, x <= 5, y <= 5, x>= 0, y = 0 O Objective Function: Minimize Cost, C-12000x+10000 Constraints: 3x + 2y > 13, 3x + y 24, 4x+6y>-9, x <= 5, y < 5₁ x >= 0, y = 0 O Objective Function: Minimize Cost, C = 12000x+10000y Constraints: 3x + 2v>= 24 3x+v># 13, 4x+6y>=9₁ x <= 5.v<= 5.x >=0.v> 0

manufacturing-Production Planning A mining company owns 2 different mines that produce ore, which is crushed and graded into three classes: high, medium, and low grade. The company has a contract to provide a smelting plant with at least 13 tons of high-grade, 9 tons of medium-grade, and 24 tons of low-grade ore per week. The two mines have different operating characteristics, as outlined in the table below: Mine #Tons/Day Low 4 6 #Tons/Day High 3 2 #Tons/Day Medium 3 1 #1 #2 The operating costs for Mine #1 are $12,000 per day and the operating costs for Mine # 2 are $10,000 per day. Each mine operates at most 5 days per week. How many days per week should each mine operate to meet or exceed the smelting plant contract and minimize the total cost? Let x = the number of days per week that Mine 1 operates per week, and Lety - the number of days per week that Mine 2 operates per week Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Minimize Cost, C-12000x+10000y Constraints: 3x + 2y >= 9,3x+y>= 13, 4x+6y= 24, x <= 5, y <= 5, x>0, y = 0 O Objective Function: Minimize Cost, C-12000x+10000y Constraints: 3x + 2y >= 13, 3x+y>= 9, 4x+6y>= 24, x <= 5, y <= 5, x>= 0, y = 0 O Objective Function: Minimize Cost, C-12000x+10000 Constraints: 3x + 2y > 13, 3x + y 24, 4x+6y>-9, x <= 5, y < 5₁ x >= 0, y = 0 O Objective Function: Minimize Cost, C = 12000x+10000y Constraints: 3x + 2v>= 24 3x+v># 13, 4x+6y>=9₁ x <= 5.v<= 5.x >=0.v> 0

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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manufacturing-Production Planning A mining company owns 2 different mines that produce ore, which is crushed and graded into three classes: high, medium, and low grade. The company has a contract to provide a smelting plant with at least 13 tons of high-grade, 9 tons of medium-grade, and 24 tons of low-grade ore per week. The two mines have different operating characteristics, as outlined in the table below: Mine #1 #2 #Tons/Day High 3 2 #Tons/Day Medium 3 1 #Tons/Day Low 4 6 The operating costs for Mine #1 are $12,000 per day and the operating costs for Mine #2 are $10,000 per day. Each mine operates at most 5 days per week. How many days per week should each mine operate to meet or exceed the smelting plant contract and minimize the total cost? Let x = the number of days per week that Mine 1 operates per week, and Let y = the number of days per week that Mine 2 operates per week Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Minimize Cost, C = 12000x + 10000y Constraints: 3x + 2y >= 9, 3x + y >= 13, 4x + 6y >= 24, x <= 5, y <= 5₁ x >= 0, y >=0 O Objective Function: Minimize Cost, C = 12000x+10000y Constraints: 3x + 2y >= 13, 3x + y >= 9, 4x+6y >= 24, x <= 5, y <= 5, x >= 0, y >= 0 O Objective Function: Minimize Cost, C = 12000x+10000y Constraints: 3x + 2y >= 13, 3x + y >= 24, 4x + 6y >= 9, x <= 5, y <= 5, x >= 0, y >= 0 O Objective Function: Minimize Cost, C = 12000x + 10000y Constraints: 3x + 2y >= 24, 3x + y >= 13, 4x + 6y >= 9, x <= 5, y <= 5, x >= 0, y >= 0
Transcribed Image Text:manufacturing-Production Planning A mining company owns 2 different mines that produce ore, which is crushed and graded into three classes: high, medium, and low grade. The company has a contract to provide a smelting plant with at least 13 tons of high-grade, 9 tons of medium-grade, and 24 tons of low-grade ore per week. The two mines have different operating characteristics, as outlined in the table below: Mine #1 #2 #Tons/Day High 3 2 #Tons/Day Medium 3 1 #Tons/Day Low 4 6 The operating costs for Mine #1 are $12,000 per day and the operating costs for Mine #2 are $10,000 per day. Each mine operates at most 5 days per week. How many days per week should each mine operate to meet or exceed the smelting plant contract and minimize the total cost? Let x = the number of days per week that Mine 1 operates per week, and Let y = the number of days per week that Mine 2 operates per week Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Minimize Cost, C = 12000x + 10000y Constraints: 3x + 2y >= 9, 3x + y >= 13, 4x + 6y >= 24, x <= 5, y <= 5₁ x >= 0, y >=0 O Objective Function: Minimize Cost, C = 12000x+10000y Constraints: 3x + 2y >= 13, 3x + y >= 9, 4x+6y >= 24, x <= 5, y <= 5, x >= 0, y >= 0 O Objective Function: Minimize Cost, C = 12000x+10000y Constraints: 3x + 2y >= 13, 3x + y >= 24, 4x + 6y >= 9, x <= 5, y <= 5, x >= 0, y >= 0 O Objective Function: Minimize Cost, C = 12000x + 10000y Constraints: 3x + 2y >= 24, 3x + y >= 13, 4x + 6y >= 9, x <= 5, y <= 5, x >= 0, y >= 0
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